Introduction to the Modern Theory of Dynamical Systems Capa dura - 1995
por Boris Hasselblatt; Anatole Katok; Anatole Kotok (Editor)
Descrição da contracapa
This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbits structure. The third and fourth parts develop in depth the theories of low-dimensional dynamical systems and hyperbolic dynamical systems. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up. Scientists and engineers working in applied dynamics, nonlinear science, and chaos will also find many fresh insights in this concrete and clear presentation. It contains more than four hundred systematic exercises.
Detalhes
- Título Introduction to the Modern Theory of Dynamical Systems
- Autor Boris Hasselblatt; Anatole Katok; Anatole Kotok (Editor)
- Encadernação Capa dura
- Páginas 824
- Volumes 1
- Idioma ENG
- Editorial Cambridge University Press, Cambridge University Press
- Data de publicação 1995-04-28
- Features Maps
- ISBN 9780521341875 / 0521341876
- Peso 2.8 libras (1.27 kg)
- Dimensão 9.47 x 6.48 x 2.31 in. (24.05 x 16.46 x 5.87 cm)
- Library of Congress subjects Differentiable dynamical systems
- Número da Biblioteca do Congresso dos Estados Unidos 94026547
- Dewey Decimal Code 515.352
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Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications)
por Anatole Katok, Boris Hasselblatt
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Introduction to the Modern Theory of Dynamical Systems [Hardcover
por Katok, Anatole and Hasselblatt, Boris
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Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications, Series Number 54)
por Katok, Anatole; Hasselblatt, Boris
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